I have coconsciousness with some alters but not all. The ones I have cocon with I am aware of -some- of the time not all of the time. I have really only gained cocon in therapy. Before therapy I wasn't very aware of the alters themselves at all, only when switching in and out.
There is one 3 year old alter I have some cocon with. She is often very upset. I am aware cocon of her and her feelings up to a point and then she switches in and I am gone. I don't have much control over that, but I can stop her from switching out -some- of the time by comforting her. Mostly I become aware of her then I switch out and "come to" to find myself curled up sucking my thumb somewhere with tears on my face. When that happens I "snap to" often mid cry but I don't have any feelings of sadness or upset myself. I pull my thumb out of my mouth, dry my face, stand up and get on with my day! I assume that's a DID thing and not a normal thing but it is very typical for me.
I don't know if I have answered your questions or not.